Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
All power analyses use G*Power (α = .05, power = 0.80). The design is a 2×2 between-participants experiment with 30 teams per cell (120 teams; 360 main team participants).
Team performance: For the PTQ × Task Interdependence interaction on team output, the minimum detectable effect is Cohen's f = 0.26 (a medium effect). Team output is measured in decodes. Using the team-performance data in Shi, Tafkov, and Zhou (2025) to estimate a within-cell standard deviation of 75 decodes, this corresponds to a minimum detectable difference-in-differences of approximately 78 decodes (Cohen's f [0.26] × 4 groups × SD [75]). Relative to the mean team output across the six cells of Shi et al.'s Table 1 (555.4 decodes), this represents approximately 14% of baseline team output.
Turnover: Turnover is a binary, participant-level outcome (quit vs. stay). For the effect of PTQ on the quit rate (present vs. absent), comparing two groups of 180 participants (360 main participants total, collapsing across task interdependence), the minimum detectable effect is Cohen's h ≈ 0.21. Anchoring plausible quit rates to a related PTQ experiment, in which the observed switch rate was 22.0% in the period the incentive was introduced and 61.0% in the following period, this corresponds to a detectable difference of roughly 9 percentage points at a ~22% baseline (≈22% vs. ≈31%) and roughly 10 percentage points at a ~61% baseline. For the PTQ × Task Interdependence interaction on the quit rate, the minimum detectable effect is Cohen's f ≈ 0.15. Expressed as the difference-in-differences in quit rates, this corresponds to approximately 24 percentage points at a ~22% baseline quit rate and approximately 29 percentage points at a ~61% baseline.
Notes. The turnover analyses treat the binary quit outcome under a linear-probability/ANOVA approximation; because a proportion's variance depends on its level, the percentage-point translations are anchored to representative baseline quit rates from a related PTQ study. None of the figures above yet adjust for clustering of quit decisions within teams. Because turnover decisions are positively correlated within a team, the design effect will exceed one, and the cluster-adjusted MDEs will be larger.